Transportation Tableau

The transportation tableau, where supply availability at each source is shown in the far right column and the destination requirements are shown in the bottom row. Each cell represents one route. The unit shipping cost is shown in the upper right corner of the cell, the amount of shipped material is shown in the center of the cell.

m … number of sources

n … number of destinations

a_i … capacity of i-th source (in tons, pounds, liters, etc)

b_j … demand of j-th destination (in tons, pounds, liters, etc.)

c_ij … unit material shipping cost between i-th source and j-th destination (in $ or as a distance in kilometers, miles, etc.)

x_ij … amount of material shipped between i-th source and j-th destination (in tons, pounds, liters etc.)